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Finding the Fourth Proportional to 280.92, 420.84 and 136.56

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Solution

The fourth proportional to 280.92, 420.84 and 136.56 is: 204.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.92 : 420.84 = 136.56 : x
  2. Step 2: Convert to fraction form
    280.92/420.84 = 136.56/x
  3. Step 3: Cross multiply
    280.92x = 420.84 × 136.56
  4. Step 4: Simplify right side
    280.92x = 57,469.91
  5. Step 5: Solve for x
    x = 57,469.91/280.92
  6. Step 6: Final answer
    x = 204.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.